In this article, we describe results of a reanalysis of two randomized studies that tested the effects of enhanced anchored instruction (EAI) on the fractions computation performance of students in special education resource rooms and inclusive mathematics classrooms. Latent class analysis and latent transition analysis classified students…

Multilevel modeling (MLM) is frequently used to detect group differences, such as an intervention effect in a pre-test--post-test cluster-randomized design. Group differences on the post-test scores are detected by controlling for pre-test scores as a proxy variable for unobserved factors that predict future attributes. The pre-test and post-test…

The use of assessment data to inform instruction is an important component of a comprehensive standards-based assessment programme. Examining teachers' data use for instruction can reveal the extent to which instruction is aligned with established content standards and assessment. This paper describes results of a qualitative study of teachers'…

(Purpose) The purpose of this paper is to describe visual literacy and an adapted version of Visual Thinking Strategy (VTS) and its value to enhance students' inferential thinking. (Methodology) An example of a middle school VTS, art-integrated lesson is described as well as reflections of a middle school language arts teacher about what she…

Early mathematics knowledge is a strong predictor of later academic achievement, but children from low-income families enter school with weak mathematics knowledge. An Early Math Trajectories model is proposed and evaluated within a longitudinal study of 517 low-income American children from age 4 to 11. This model includes a broad range of math…

Because students from American Indian/Alaska Native (AI/AN) backgrounds tend to lag behind their peers in academic achievement, researchers have recommended integrating Native Language and Culture (NLC) into instruction. However, existing evidence from large-scale studies finds a "negative" effect of the use of NLC on achievement,…

(Purpose) The purpose of this paper is to describe visual literacy, an adapted version of Visual Thinking Strategy (VTS), and an art-integrated middle school mathematics lesson about scientific notation. The intent of this lesson was to provide students with a real life use of scientific notation and exponents, and to motivate them to apply their…

A typical mathematics assignment consists primarily of practice problems requiring the strategy introduced in the immediately preceding lesson (e.g., a dozen problems that are solved by using the Pythagorean Theorem). This means that students know which strategy is needed to solve each problem before they read the problem. In an alternative…

Regression, weighting and related approaches to estimating a population mean from a sample with nonrandom missing data often rely on the assumption that conditional on covariates, observed samples can be treated as random. Standard methods using this assumption generally will fail to yield consistent estimators when covariates are measured with…

This paper examines two factors that have been shown in previous literature to enhance students' interest in learning mathematics--personalization of problems to students' interest areas, and the addition of visual representations such as decorative illustrations. In two studies taking place within an online curriculum for middle school…

The authors outline the application of latent class analysis (LCA) to classroom observational instruments. LCA offers diagnostic information about teachers' instructional strengths and weaknesses, along with estimates of measurement error for individual teachers, while remaining relatively straightforward to implement and interpret. It is…

Literature suggests that improving teacher use of culturally responsive classroom management strategies may reduce the disproportionate number of racial and ethnic minority students who receive exclusionary discipline actions and are identified as needing special education, particularly for emotional and behavioral disorders. Coaching teachers is…

Most mathematics assignments consist of a group of problems requiring the same strategy. For example, a lesson on the quadratic formula is typically followed by a block of problems requiring students to use the quadratic formula, which means that students know the appropriate strategy before they read each problem. In an alternative approach,…

There are well-acknowledged challenges to scaling computerized performance-based assessments. One such challenge is reliably and validly identifying ill-defined skills. We describe an approach that leverages a data mining framework to build and validate a detector that evaluates an ill-defined inquiry process skill, designing controlled…

This study investigated how middle school students leverage information about bound Latin roots (e.g., voc in "advocate" and "vociferous") to infer meanings of unfamiliar words, and how instruction may facilitate morphological analysis using roots. A dynamic assessment of morphological analysis was administered to 29 sixth…